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Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Summation Formulas:
2(a pk-1) =:
1.
Geometric Series
|r|< 1
k=1
Arithmetic Series
Sn =5 (a, + an)
2.
n
п(п + 1)
k =
п(п + 1)(2n + 1)
k2 =
3.
4.
2
k=1
k=1
For #17-21, find the sum of the given series. If the qeometric series diverges, state this.
3
Σ
17.
(5k – 240)
k=1
140
18.
> (4k? – 10k + 25)
k=1
19.
Arithmetic Series:
31 + 39 + 47 + 55 + ...+ 575
Transcribed Image Text:Summation Formulas: 2(a pk-1) =: 1. Geometric Series |r|< 1 k=1 Arithmetic Series Sn =5 (a, + an) 2. n п(п + 1) k = п(п + 1)(2n + 1) k2 = 3. 4. 2 k=1 k=1 For #17-21, find the sum of the given series. If the qeometric series diverges, state this. 3 Σ 17. (5k – 240) k=1 140 18. > (4k? – 10k + 25) k=1 19. Arithmetic Series: 31 + 39 + 47 + 55 + ...+ 575
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